lea has dimes and nickels that total to $5.50. there are a total of 75 coins. how many are dimes?

Answers

Answer 1
THERE ARE 50 DIMES

Let d be the number of dimes and n be the number of nickels. Then (because there are 75 coins), d + n = 75

Also, you can figure out the value of the money you have by multiplying the number of dimes by 0.10 and multiplying the number of nickels by 0.05. That means 0.10d + 0.05n = 6.25

This gives you 2 equations with the 2 unknowns (d and n). You can solve this in several ways, including substitution and elimination. I'll go with substitution because that's usually the first method taught.

If d + n = 75, then d = 75 - n (subtract "n" from both sides of the equation). Now since "d" is the same as "75 - n" you can plug into the second equation "75 - n" wherever you see "d". That gives you:

0.10(75 - n) + 0.05n = 6.25

7.5 - 0.10n + 0.05n = 6.25 (distributing to eliminate the parenthesis)

7.5 - 0.05n = 6.25 (combining like terms)

-0.05n = -1.25 (subtracting 7.5 from both sides)

n = 25 (dividing both sides by -0.05)
So there are 25 nickels.

Since d + n = 75, you can plug 25 in for n to get:

d + 25 = 75

d = 50 (subtracting 25 from both sides)

So there are 50 dimes

Related Questions

mom bought a dress for 320 dollars during the big sale its original price is 400 yuan how much is the discount

Answers

Answer:

20% discount

Step-by-step explanation:

Given the following question:

20% of 400

To find the answer we will use the formula to calculate percentages, once we have that answer we then subtract it from the original price to see if we have the same new price as the question.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{20\times40}{100}[/tex]
[tex]20\times40=8000[/tex]
[tex]8000\div100=80[/tex]
[tex]=80[/tex]

Subtract from the original price:
[tex]400[/tex]
[tex]400-80=320[/tex]
[tex]=320[/tex]

The dress has a "20% discount."

Hope this helps.

Each of 4 gift bags contains X pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 36 pencils. What is the answer as an equation

Answers

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

Let's consider the information given:

there are 4 gifts bags that contain 'x' pencil

            Total number of pencils = 4 * x = 4x

3 more pencils are added to each bag

             Total number of pencils = 4 * (x + 3)

in total there are 36 pencils

              4(x+3) = 36

Answer: 4(x+3) = 36

Hope that helps!

#LearnwithBrainly

i need answer now asap plzzz 25 points

Enzo is making a scale drawing of the rectangle below.


A rectangle has a length of 8 centimeters and width of 5 centimeters.


Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?

Enzo is correct because he used a factor of 2 to enlarge the rectangle.

Enzo is correct because he doubled one dimension and added the two lengths to get the other dimension.

Enzo is not correct because the enlarged rectangle should be 16 centimeters by 5 centimeters.

Enzo is not correct because he did not multiply the length and width by the same factor.

Answers

Answer:

Tjats is baout the circumfrence of nonsensical poop

Step-by-step explanation:

Answer:

what ever the first person have answer

What is 125.315 in standard form?

Answers

Answer: 1.25315*102

Step-by-step explanation:

f(x) = -7x - 1
f() = -8

Answers

Answer:

Step-by-step explanation:

Find the value of x. (2x +4)° 2x-9)°​

Answers

Answer: x=3

Step-by-step explanation: 2x +4)° 2x-9)°​= 4x  2 +8x−9=3

 Pull out like factors :

  2x + 4  =   2 • (x + 2) (4 • (x + 2) • x) -  9

4x • (x + 2) -  9

Factoring  4x2+8x-9  

The first term is,  4x2  its coefficient is  4 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  -9  

Step-1 : Multiply the coefficient of the first term by the constant   4 • -9 = -36  

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is   8 .

     -36    +    1    =    -35  

     -18    +    2    =    -16  

     -12    +    3    =    -9  

     -9    +    4    =    -5  

     -6    +    6    =    0  

     -4    +    9    =    5  

     -3    +    12    =    9  

     -2    +    18    =    16  

     -1    +    36    =    35

x=3

The value of x for the given triangle is 37°.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

The sum of all interior angles of a triangle is 180°.

So,

x + 2x +4 + 2x-9 = 180°

5x - 5 = 180°

x = 37°

Hence "The value of x for the given triangle is 37°".

For more about triangles,

https://brainly.com/question/2773823

#SPJ2

Given question is missing an image attached below;

6(4m+1)+6 simplified​

Answers

Answer:

24m + 12

Step-by-step explanation:

Use the distributive property on 6(4m+1) to simplify it down to 24m +6

The equation is now 24m + 6 + 6

Simplify farther by adding the like terms 6 and 6

24m + 12

Answer:

24m+12

would be your answer

Step-by-step explanation:

hope this helps

Is Y = 8 proportional

Answers

Answer:

yes it is

Step-by-step explanation:

it can be written as a  fraction

-
A geometric
sequence is defined
recursively by
an = 3an-7. The 1st
term of the
sequence is 2.7.
Write the explicit
formula for the
sequence.

HELP PLEASE

Answers

Answer:

2.7n=8.1^n-7

thank you for the lovely question

ANSWER QUICK PLEASE MATH TEST TMR

Factor this polynomial 15c^3 + 10c^2 - 40c

Answers

Answer:

5c(3c-4)(c+2)

Step-by-step explanation:

We can factor the GFC out

15c^3+10c^2-40c

5c(3c^2+2c-8)

Then we can factor by quadratic trinomials

5c(3c-4)(c+2)

What is the sum of -7 and its additive inverse?

Answers

Answer:

The sum of a number and its additive inverse is equal to 0.

Step-by-step explanation:

ONLY URSONET ANSWER|||||||






53 + 47 = 100 : simples? But those itching for their Good Will Hunting moment, the Guinness Book of Records puts Goldbach's Conjecture as the current longest-standing maths problem, which has been around for 257 years. It states that every even number is the sum of two prime numbers: for example, 53 + 47 = 100.

Answers

It's tricky because everybody is used to seeing 50+50=100

50+50=100 Its simple but when u put it like that it makes at trickier and people think its 90 or 103

Helpppppp!!!!!!!!!!!$

Answers

It’s A, because multiplying the ‘y’ values by a fraction would make them smaller, therefore making all of the y-values (that affect the vertical size of a graph) compress

Find the surface area of the figure below.

Answers

Answer:

108 i think

Step-by-step explanation:

Answer:

108 inch.

Step-by-step explanation:

To make it a bit easier, I calculated the area of each side of the prism that was shown.

1. Start with the triangular sides: 3 × 4/2 = 6. Since there are two triangular surfaces, you add them together. In the end, you have 12 inch.

2. Calculate the surface with the dimensions 8 in. with 5 in.: 8 × 5 = 40 inch.

3. Calculate the surface with the dimensions 4 in. with 8 in.: 4 × 8 = 32 inch.

4. Calculate the surface with the dimensions 3 in. with 8 in.: 3 × 8 = 24 inch.

5. Last step - add all the results together: 12 + 40 + 32 + 24 = 108 inch.

Hope it helped!!

Find the area of the parallelogram.
-
14 cm
14 cm
A= | cm2

Answers

Answer:

= 196 cm^2

Step-by-step explanation:

A= bh

= 14X14

= 196 cm^2

Need help...
How do I solve these systems of equations? What method should I use?
8x + 5y = -17
y = -5​

Answers

Answer:

Substituition. (1,-5)

Step-by-step explanation:

Take y=-5 and plug it into the equation. 8x-25=-17. Solve equation; 8x=8. Simplify; x=1. Plug your x-values and y-values into parentheses. X first, then y. (1,-5).

Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?

a.

b.

c.

d.




Please select the best answer from the choices provided


A
B
C
D

Answers

The one who isn’t a function is graph B

Which type of change or reaction always results in a new substance?


chemical change


all answers are wrong


phase change


physical change

Answers

Answer:

Chemical Change-

If a = -4 and b= -3, work out the value of a/2+b

Answers

Given Equation Is:

[tex] \: \: [/tex]

[tex] \sf \large \frac{a}{2} + b[/tex]

[tex] \: \: [/tex]

Now, Put the value of a = -4 and b = -3 in given eqn .

[tex] \: \: [/tex]

[tex] \sf \large \: \frac{ - 4}{2} - 3[/tex]

[tex] \: \: [/tex]

[tex] \sf \large \cancel \frac{ - 4}{ \: \: 2} - 3[/tex]

[tex] \: \: [/tex]

[tex] \sf \large \: - 2 - 3[/tex]

[tex] \: \: [/tex]

[tex] \boxed { \sf \large \color{pink} \: \: \: \: \: \: \: 5 \: \: \: \: \: \: \: }[/tex]

[tex] \: \: [/tex]

Hope Helps!:)

The solution to the equation takes the form a/2+b, where, a = -4 and b= -3, is 4 or -5 depending on the equation used.

What is the substitution of variables into an equation?

The substitution of variables takes a defined pattern. In the given question, we are to replace the following values for a and b. i.e. a = -4 and b = -3 into the equation a/2+b.

So,

If a = - 4;and b = -3

Then, using the expression:

[tex]\mathbf{=\dfrac{a}{2+b}}[/tex]

The solution to the equation can be calculated as:

[tex]\mathbf{=\dfrac{-4}{2+(-3)}}[/tex]

[tex]\mathbf{=\dfrac{-4}{-1}}[/tex]

Divide both the numerator and denominator by (-1)

= 4

However, if the equation is [tex]\mathbf{\dfrac{a}{2}+b}[/tex]

The solution to the equation will be as follows:

[tex]\mathbf{\dfrac{-4}{2}+(-3)}[/tex]

= -2 - 3

= -5

Learn more about variables here:

https://brainly.com/question/24751617

#SPJ5

Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
a.18 x minus 15 = 72
b.50 x minus 25 = 72
c.18 x minus 9 = 72
d.3 (6 x minus 3) = 72
e.x=4.5

Answers

Answer:

C, D and E

Step-by-step explanation:

Given equation:

[tex]\dfrac35(30x-15)=72[/tex]

Use the distributive law  [tex]a(b-c)=ab-ac[/tex]:

[tex]\implies \dfrac35\cdot30x- \dfrac35\cdot15=72[/tex]

[tex]\implies \dfrac{3 \cdot30}5x- \dfrac{3 \cdot15}5=72[/tex]

[tex]\implies \dfrac{90}5x- \dfrac{45}5=72[/tex]

[tex]\implies 18x- 9=72[/tex]  ←  option c

Factor out common term 3:

[tex]\implies 3(6x- 3)=72[/tex]  ←  option d

Solve [tex]18x- 9=72[/tex]:

[tex]\implies 18x- 9+9=72+9[/tex]

[tex]\implies 18x=81[/tex]

[tex]\implies \dfrac{18x}{18}=\dfrac{81}{18}[/tex]

[tex]\implies x=4.5[/tex]  ←  option e

Question in photo! (Please help with other questions!)

Answers

Answer:

b) [tex]a_{n}[/tex] = 2 + 2/5n

Step-by-step explanation:

Given :-

a = 12/5

d = 2/5

To Find :-

[tex]a_{n}[/tex]

Solving :-

[tex]a_{n}[/tex] = a + (n - 1)d

= 12/5 + 2/5n - 2/5

= 2 + 2/5n

Solution :-

b) [tex]a_{n}[/tex] = 2 + 2/5n

What are the values of x and y?

Answers

Answer:

Y=45 X=90

Step-by-step explanation:

B is equal to C so it would be 45. Since the whole triangle must be 180 you subtract 45 and 45 from 180 and you get 90. Another way to tell C and B are the same is the 2 little lines on the sides.

Answer:

y=45°(angles opposite to equal sides are equal)

x+y+45=180(sum of the interior angles of a triangle is 180)

x+45+45=180

y+90=180

y=180-90

y=90

Step-by-step explanation:

Hailey went to Frank's Market and bought 1 3/4 pounds of coffee at $13 a pound and 8 1/2 pounds of rice at $0.45 pero pound. If Hailey paid with a $50 Bill how much chance did she receive?

Answers

Answer: She received $18.42 as change.

Step-by-step explanation:

Given: Cost of coffee per pound = $13

[tex]1\dfrac34[/tex] pounds of coffee costs [tex]=1\dfrac34\times 13=\dfrac{4+3}{4}\times 13[/tex]

[tex]=\dfrac74\times 13\\\\=\$ 22.75[/tex]

Cost per pound of rice = $0.45

[tex]8\dfrac12[/tex]  pounds of rice costs = [tex]8\dfrac12\times 0.45=\dfrac{17}{2}\times0.45[/tex]

[tex]=\$3.825[/tex]

Bill amount = $ (22.75+8.825) = $ 31.575≈ $31.58

If Hailey paid $50, then she will receive = $(50-31.58)

= $ 18.42

Hence, She received $18.42 as change.

Answer: She received $18.42 as change.

Step-by-step explanation:

Given: Cost of coffee per pound = $13

pounds of coffee costs  

Cost per pound of rice = $0.45

 pounds of rice costs =  

Bill amount = $ (22.75+8.825) = $ 31.575≈ $31.58

If Hailey paid $50, then she will receive = $(50-31.58)

= $ 18.42

Hence, She received $18.42 as change.

As a member of a dance troupe, Anita has a costume wardrobe that consists of 2 pairs of tights (1 white pair and 1 black pair), 3 T-shirts (1 pink, 1 blue, and 1 green), and 3 scarves (1 silver, 1 gold, and 1 white). If a costume consists of either a pair of tights and a T-shirt with a scarf or a pair of tights and a T-shirt without a scarf, how many different costumes are possible?

Answers

Answer:

24

Step-by-step explanation:

24

The total number of different costumes possible is 24 if  Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Anita has a costume wardrobe that consists of 2 pairs of tights (1 white pair and 1 black pair), 3 T-shirts (1 pink, 1 blue, and 1 green), and 3 scarves (1 silver, 1 gold, and 1 white).

The costume consists of either a pair of tights or a T-shirt with a scarf:

In this case total number of ways = 2×3×3 = 18

Pair of tights and a T-shirt without a scarf:

In this case total number of ways = 2×3 = 6

Total number of different costumes are possible:

= 18 + 6

= 24

Thus, the total number of different costumes possible is 24 if  Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

#SPJ2

How do I write an inequality for this?

Answers

Answer:

[tex] - 2 \leqslant x < 5[/tex]

Step-by-step explanation:

The shaded part is after - 2 and the circle is shaded which indicate that x is greater than or equal to - 2. The shaded part before the 5 and the open circle indicate that x is also less than 5.

Tom host a new program the kitchen gladiator, wants to mix a dip containing 5% horseradish with one containing 20% horseradish to obtain a 24 ounce dip containing 10% horseradish, how many ounces of the 5% dip should he use?

Answers

Answer:

16 ounces

Step-by-step explanation:

x, quantity of the 5%

24-x, quantity of the 20%

5%x + 20%(24-x) = 10% of 24

.05x + .20(24-x) = .10 * 24

.05x + 4.8 - .20x = .10 * 24

4.8 -.15x = 2.4

2.4 = .15x

.15x = 2.4

x = 2.4/.15

x = 16

Quentin recorded the weather for the past days. It rained on 28 of the days. Which fraction and decimal represent how many days it rained? 28 O A 2.8 and 100 O'B. 0-28 and 210 OC. 0.28 and 28 100 O D. 0.28 and​

Answers

Answer:

I don't know which letter answer it is because it is unclear in the question, but the answer is:

28/100 for the fraction

0.28 for the decimal

A cylinder has a height of 10 inches and a radius of 4 inches. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth

Answers

Cylinder volume = base area x height = pi x r² x h

so with r = 4 inches and h = 10 eaches

V = 3,14 x 4² x 10 = 502,40

Select the correct answer from each drop-down menu.
The figure shown consists of a square pyramid on top of a square prism. The surface area of the figure is 432 cm2. The height of the prism is three times the height of the pyramid.


Find the heights of the pyramid and the prism.

The height of the pyramid is
cm.

The height of the prism is
cm.

Answers

Answer:

height of pyramid = 3 cm

height of prism = 9 cm

Step-by-step explanation:

Square Pyramid

surface area of 4 triangular sides of the pyramid = [tex]2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex]

(where [tex]a[/tex] is the base edge and [tex]h[/tex] is the height)

Given [tex]a[/tex] = 8 cm

[tex]\implies \textsf{SA}=2\cdot8\sqrt{\dfrac{8^2}{4}+h^2}[/tex]

            [tex]=16\sqrt{16+h^2}[/tex]

Square Prism

surface area of square prism with one base = [tex]a^2+4ah[/tex]

(where [tex]a[/tex] is the base edge and [tex]h[/tex] is the height)

Given [tex]a[/tex] = 8 cm and [tex]h[/tex] = 3h

[tex]\implies \textsf{SA}=8^2+4\cdot 8\cdot 3h[/tex]

            [tex]=64+96h[/tex]

Total surface area

total SA = SA of pyramid + SA of square prism

Given total SA = 432 cm²

[tex]\implies 432=16\sqrt{16+h^2}+64+96h[/tex]

[tex]\implies 368=16\sqrt{16+h^2}+96h[/tex]

[tex]\implies 368=16(\sqrt{16+h^2}+6h)[/tex]

[tex]\implies 23=\sqrt{16+h^2}+6h[/tex]

[tex]\implies 23-6h=\sqrt{16+h^2}[/tex]

[tex]\implies (23-6h)^2=16+h^2[/tex]

[tex]\implies 529-276h+36h^2=16+h^2[/tex]

[tex]\implies 35h^2-276h+513=0[/tex]

[tex]\implies (h-3)(35h-171)=0[/tex]

[tex]\implies h=3, h=\dfrac{171}{35}[/tex]

Inputting both values of [tex]h[/tex] into the equations for SA:

when [tex]h = 3[/tex]:

[tex]\textsf{pyramid}=16\sqrt{16+3^2}=80 \ \sf cm^2[/tex]

[tex]\textsf{square prism}=64+96(3)=352 \ \sf cm^2[/tex]

[tex]\textsf{total SA}=80+352=432 \ \sf cm^2[/tex]

when [tex]h=\dfrac{171}{35}[/tex]:

[tex]\textsf{pyramid}=16\sqrt{16+(\frac{171}{35})^2}=101.0285714... \sf cm^2[/tex]

[tex]\textsf{square prism}=64+96(\frac{171}{35})=533.0285714... \ \sf cm^2[/tex]

[tex]\textsf{total SA}=101.0285714...+533.0285714... =634.0571428... \ \sf cm^2[/tex]

Therefore, h = 3 only (since the total area is 432 cm²)

⇒ height of pyramid = 3 cm

⇒ height of prism = 3h = 3 × 3 = 9 cm

The table gives the value of bianca’s savings account at the end of each of the first four years.

which best describes the terms of this investment?

Answers

The savings account of a person shows the amount which is immediately available to the person and this helps to create budgets and control spending.

What are Tables?

This refers to the way data is arranged by showing the figures in columns for easy reading and calculations.

Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.

Read more about tables here:

https://brainly.com/question/24040786

Other Questions
Suppose a cubic polynomial, f, has two rational roots c and d and one irrationalroot which is a conjugate pair a + vb, where a and b are rational numbers.Does f have rational coefficients? Explain. I need somebody(Help) not just anybody(Help) you know I need someone, help Mi llamo Juan yo soy de Espaa yo vivo con mi familia en una casa grande yo tengo quince aos mi cumpleaos es el dieciocho de abril yo asisto a mis clases a las ocho de la maana yo tomo siete clases mi clase favorita es la clase de ingls porque me gusta aprender otros idiomas yo como con mis amigos en la cafetera todos los das yo hablo de mis problemas con ellos por la tarde yo llego a casa a las cuatro de la tarde y termino mi tarea despus yo miro la televisin con mi familia Translate the following sentences into Spanish. Pay attention to the clues that will help you choose the appropriate tense.6. Last night, my friend and I went to a party.7. Last summer, the students had to read every day.8. In sixth grade, you always participated in the school activities.9. Your brother called on the phone while you were mowing the lawn.10. Eva and Toni were in love. what happens to an element when it becomes part of a compound True or false. Singing sounds better in large rooms.A) False B) True which proxy war caused protest and division in the U.S 3( x + 2 ) = 2( 2 - x ) What is the definition of "erasure" as used in this selection from the section "4. erasure poems"? Are the neuroglia cells in the nervous system? HELP PLEASE AND FAST!Only the sagittal plane divides the body a.with bilateral symmetryb.by directional termsc.perpendicularly d.in parallels Why do Rosencrantz and Guildenstern come to Elsinore You have listed a property. The seller told you that he must net at least $14,000 after all the fees and expenses are paid. You estimate the seller's closing cost to be $3,500, and he must payoff an existing loan of $108,750. In addition, you are going to charge 7 percent commission on the sale. What is the LEAST amount that the property can sell for to return the seller's desired net? The Yellowstone National Park food web is shown below.SecondaryconsumersRaven (detritivore)Red foxGray wolfPrimaryconsumersSnowshoehareMooseBeaverRed SquirrelPrimaryproducersPineMaple Balsam Fir Cottonwood Aquatic plantsWhat would be the most likely effect of adding wolves to the park?A. Increased aquatic plant populationB. Decreased maple populationC. Decreased cottonwood populationD. Increased elk population Prior to Mendel completing and publishing his genetic experiments, what were the prevailing ideas about how inheritance occurred which point of view does the narrator use? Kira received a $45.75 gift card for a photo center. She used it to buy prints that cost 20 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following function.B(x) =45.75-0.20xWhat is the remaining balance on the card if Kira bought 30 prints? write and solve an equation.The current temp is 54F. It's expectedto rise 2.5F each hour. In how manyhours will the temp be 84F In what ways did China influence Japanese culture? The purpose of including a front page to your rewritten notes is:.